I worked in health insurance for a long time, and Healthcare Plus and Health Solutions sound like the names of the shitty mini-med plans my company sold, or even worse, medical discount plans. I like Health in Motion.

I really like Health in Motion. The others sound very common and generic. If I was trying to find a practicioner I’d be more likely to remeber a name like that than something that is similar to 50 other places in town.

Also, since you seem to be focusing on things not simply medical (things that someone who has sports injuries would need, for example) the “in Motion” fits.